
point(abscissa(A), ordinate(B)) creates a point whose x-coordinate is the same as that of a
point A and whose y-coordinate is the same as that of a point B. This point will change to reect the
movements of point A or point B.
Point on
Creates a point on a geometric object whose abscissa is a given value or creates a real value on a given
interval.
element(object, real) or element(real1..real2)
Examples:
element(plotfunc(x^2),–2) creates a point on the graph of y = x
2
. Initially, this point will appear at (–
2,4). You can move the point, but it will always remain on the graph of its function.
element(0..5) creates a slider bar with a value of 2.5 initially. Tap and hold this value to open the slider.
Select or to increase or decrease the value on the slider bar. Press to close the slider
bar. The value that you set can be used as a
coeicient in a function that you subsequently plot or in some
other object or calculation.
Midpoint
Returns the midpoint of a segment. The argument can be either the name of a segment or two points that
dene a segment. In the latter case, the segment need not actually be drawn.
midpoint(segment) or midpoint(point1, point2)
Example:
midpoint(0,6+6i) returns point(3,3)
Center
Syntax: center(Circle)
Plots the center of a circle. The circle can be dened by the circle command or by name (for example, GC).
Example:
center(circle(x^2+y2–x–y)) plots point(1/2,1/2)
Intersection
Syntax: single_inter(Curve1, Curve2, [Point])
Plots the intersection of Curve1 and Curve2 that is closest to Point.
Example:
single_inter(line(y=x), circle(x^2+y^2=1), point(1,1)) plots
point((1+i)*√2/2)
Intersections
Returns the intersection of two curves as a vector.
inter(Curve1, Curve2)
Example:
190 Chapter 9 Geometry
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